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Simplifying x + 82 = -2x + -23 Reorder the terms: 82 + x = -2x + -23 Reorder the terms: 82 + x = -23 + -2x Solving 82 + x = -23 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 82 + x + 2x = -23 + -2x + 2x Combine like terms: x + 2x = 3x 82 + 3x = -23 + -2x + 2x Combine like terms: -2x + 2x = 0 82 + 3x = -23 + 0 82 + 3x = -23 Add '-82' to each side of the equation. 82 + -82 + 3x = -23 + -82 Combine like terms: 82 + -82 = 0 0 + 3x = -23 + -82 3x = -23 + -82 Combine like terms: -23 + -82 = -105 3x = -105 Divide each side by '3'. x = -35 Simplifying x = -35
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